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77730041 = 234098263
BaseRepresentation
bin1001010001000…
…01000011111001
312102021002120102
410220201003321
5124344330131
611414005145
71632460124
oct450410371
9172232512
1077730041
113a970804
12220467b5
131314710c
14a4753bb
156c561cb
hex4a210f9

77730041 has 8 divisors (see below), whose sum is σ = 81317760. Its totient is φ = 74159712.

The previous prime is 77730017. The next prime is 77730047. The reversal of 77730041 is 14003777.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77730041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77729986 and 77730013.

It is not an unprimeable number, because it can be changed into a prime (77730047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5276 + ... + 13538.

It is an arithmetic number, because the mean of its divisors is an integer number (10164720).

Almost surely, 277730041 is an apocalyptic number.

It is an amenable number.

77730041 is a deficient number, since it is larger than the sum of its proper divisors (3587719).

77730041 is a wasteful number, since it uses less digits than its factorization.

77730041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695.

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 77730041 is about 8816.4642005738. The cubic root of 77730041 is about 426.7723741856.

The spelling of 77730041 in words is "seventy-seven million, seven hundred thirty thousand, forty-one".

Divisors: 1 23 409 8263 9407 190049 3379567 77730041